SOLUTION: (4X-3Y)(X-2Y)

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Question 119634:
(4X-3Y)(X-2Y)
Found 2 solutions by checkley71, jim_thompson5910:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
4X-3Y
X-2Y
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4X^2-3XY-8XY+6Y^2
4X^2-11XY+6Y^2 ANSWER.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%284x-3y%29%28x-2y%29 Start with the given expression



Remember, when you FOIL an expression, you follow this procedure:


%28highlight%284x%29-3y%29%28highlight%28x%29-2y%29 Multiply the First terms:%284x%29%2A%28x%29=4x%5E2


%28highlight%284x%29-3y%29%28x%2Bhighlight%28-2y%29%29 Multiply the Outer terms:%284x%29%2A%28-2y%29=-8xy


%284x%2Bhighlight%28-3y%29%29%28highlight%28x%29-2y%29 Multiply the Inner terms:%28-3y%29%2A%28x%29=-3yx


%284x%2Bhighlight%28-3y%29%29%28x%2Bhighlight%28-2y%29%29 Multiply the Last terms:%28-3y%29%2A%28-2y%29=6y%5E2


4x%5E2-8xy-3yx%2B6y%5E2 Now collect every term to make a single expression



4x%5E2-11xy%2B6y%5E2 Now combine like terms


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Answer:
So %284x-3y%29%28x-2y%29 foils and simplifies to 4x%5E2-11xy%2B6y%5E2

In other words, %284x-3y%29%28x-2y%29=4x%5E2-11xy%2B6y%5E2